31 lari
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Let T be the daily salary of Tom and J be the daily salary of Jony. From the first statement provided, Tom's salary for 20 days is 94 lari more than Jony's salary for 16 days which can be expressed as:
- 20T = 16J + 94 ... (Equation 1)
From the second statement, Tom's 2-day salary is 34 lari less than Jony's 3-day salary. This can be expressed as:
- 2T = 3J - 34 ... (Equation 2)
We can solve these equations simultaneously to find the value of J.
Multiply Equation 2 by 10 to align with the days of Equation 1:
- 20T = 30J - 340 ... (Equation 3)
Now subtract Equation 1 from Equation 3, then solve for J:
- 20T - 20T = 30J - 16J - 340 - 94
- 0 = 14J - 434
- 14J = 434
- J = 434 / 14
- J = 31
Hence, Jony's daily salary is 31 lari.
